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TOTAL CORDIAL FOR THE CORONA PRODUCT OF PATHS AND THE THIRD POWER OF DOUBLE FANS-GENERALIZED FANS
Keywords:
total cordial, fan, path corona product, third power of graphDOI:
https://doi.org/10.17654/0974165825020Abstract
A graph is considered total cordial if it can be assigned a $0-1$ labeling that meets specific conditions. In this paper, we show that $D\left(F_n^3\right)$ is total cordial if $n>4$. Moreover, we study the cordiality corona product of paths and the third power of double fans. Also, we obtain that the cordiality of the corona $P_n \odot G_k\left(F_m^3\right)$ between paths $P_n$ and the third power of generalized fans $G_k\left(F_m^3\right)$ is total cordial for all $n, k \geq 1$ and $m>4$.
Received: October 15, 2024
Revised: November 10, 2024
Accepted: December 20, 2024
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